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The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the distance after which the speed of the of the stream changes. Statement I: A man rowing a boat in downstream and the speed of the boat in still water is four times the speed of the stream. Statement II: The speed of the stream is 2 kmph which is increased by 2 kmph after travelling some distance thereby reaching the destination earlier by 5 minutes. Statement III: Total distance covered by the boat is 25 km in downstream.

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. Find the distance after which the speed of the of the stream changes. Statement I: A man rowing a boat in downstream and the speed of the boat in still water is four times the speed of the stream. Statement II: The speed of the stream is 2 kmph which is increased by 2 kmph after travelling some distance thereby reaching the destination earlier by 5 minutes. Statement III: Total distance covered by the boat is 25 km in downstream. Correct Answer All I, II and II

Let x be the speed of the boat and y be the speed of the stream

From statement I, II and III

Speed of the stream = 2 kmph

Then the speed of the boat = 4 × 2 = 8 kmph

Initial speed of downstream = 8 + 2 = 10 kmph

Let after travelling a distance of ‘d’, the speed of the stream increase to 2kmph

Then speed of the stream = 4 kmph

And speed of the boat in still water = 4 x 4 = 16 kmph

Now increased speed of boat downstream = 16 + 4 = 20 kmph

25/10 = d/10 + (25 - d)/20 + 5/60

⇒ 2.5 = (6d + 75 - 3d + 5)/60

⇒ 2.5 × 60 = 3d + 80

⇒ 150 - 80 = 3d

⇒ d = 70/3 = 23.33 km

∴ All the three statements are required to answer the question

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